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Finding the Fourth Proportional to 6,508.62, 9,767.97 and 4,423.50

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Solution

The fourth proportional to 6,508.62, 9,767.97 and 4,423.50 is: 6,638.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.62 : 9,767.97 = 4,423.50 : x
  2. Step 2: Convert to fraction form
    6,508.62/9,767.97 = 4,423.50/x
  3. Step 3: Cross multiply
    6,508.62x = 9,767.97 × 4,423.50
  4. Step 4: Simplify right side
    6,508.62x = 43,208,615.30
  5. Step 5: Solve for x
    x = 43,208,615.30/6,508.62
  6. Step 6: Final answer
    x = 6,638.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.